Solve +4/7:3^2*3^4*3^5=

$$+ \frac { 4 } { 7 } : 3 ^ { 2 } \times 3 ^ { 4 } \times 3 ^ { 5 } =$$

Evaluate

$$\frac{8748}{7}\approx 1249.714285714$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 5 to get 9.

$$\frac{\frac{4}{7}}{3^{2}}\times 3^{9}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{\frac{4}{7}}{9}\times 3^{9}$$

Express \frac{\frac{4}{7}}{9} as a single fraction.

$$\frac{4}{7\times 9}\times 3^{9}$$

Multiply 7 and 9 to get 63.

$$\frac{4}{63}\times 3^{9}$$

Calculate 3 to the power of 9 and get 19683.

$$\frac{4}{63}\times 19683$$

Express \frac{4}{63}\times 19683 as a single fraction.

$$\frac{4\times 19683}{63}$$

Multiply 4 and 19683 to get 78732.

$$\frac{78732}{63}$$

Reduce the fraction \frac{78732}{63} to lowest terms by extracting and canceling out 9.

$$\frac{8748}{7}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {7}}{7} = 1249\frac{5}{7} = 1249.7142857142858$$